Paranorm <Emphasis Type="Italic">I</Emphasis>-convergent sequence spaces |
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| Authors: | Biond Chandra Tripathy Bipan Hazarika |
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| Institution: | (1) Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon Garchuk, Guwahati, 781 035, Assam, India;(2) Department of Mathematics, Rajiv Gandhi University, Doimukh Itanagar, 791 112, Arunachal Pradesh, India |
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| Abstract: | In this article we introduced the sequence spaces c
I
(p), c
0
I
(p), m
I
(p) and m
0
I
(p) for p = (p
k
), a sequence of positive real numbers. We study some algebraic and topological properties of these spaces. We prove the decomposition
theorem and obtain some inclusion relations.
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| Keywords: | ideal filter I-convergent I-null paranorm |
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